# The logic of defeasible argumentation

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The logic of defeasible argumentation

Arguments

Overview

Nonmonotonic logics

Models of defeasible argumentation vs. nonmonotonic logics

Models of defeasible argumentation vs. nonmonotonic logics

Models of defeasible argumentation

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WWWebster

WWWebster

WWWebster

Arguments

Arguments

Argument forms

Premise/conclusion-pairs

Sequences of sentences

Reason/conclusion-structures

Propositional logic

Propositional logic

Argument forms

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Arguments as reason/conclusion-structures

Elementary arguments

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Composite arguments

Subordination and coordination

Multiple conclusions

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Premises and conclusions

Composite reasons versus coordinated reasons

Composite reasons versus coordinated reasons

Subreasons and nested reasons

Subarguments

An argument

An argument and its subarguments

Subarguments

Initials of an argument

The initials of an argument

Narrowings of an argument

The narrowings of an argument

Nota bene

A recursive definition of arguments

No rules

A recursive definition of initials

A recursive definition of narrowings

A recursive definition of arguments

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Suppositional arguments

Propositional logic

Propositional logic

Propositional logic

Propositional logic

Propositional logic

Is it necessary to model suppositional arguments?

Is it necessary to model suppositional arguments?

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Types of arguments

Vreeswijk

Simari and Loui, Prakken and Sartor

Pollock

CumulA

Argue!, ArguMed

Dung

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Summary

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Author: Bart Verheij